Question stringlengths 2 3k | label int64 0 1 |
|---|---|
What area of France is considered a part of Mediterranean Europe? | 0 |
15. A radioactive substance contains $10^{15}$ atoms and has an activity of $6.0 \times 10^{11} \mathrm{~Bq}$. What is its half-life? | 1 |
What are some good reasons why visiting Australia is a good idea? | 0 |
72. $n$ lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is
a. $\sum_{k=1}^{n-1} k$
b. $n(n-1)$
c. $n^{2}$
d. none of these | 1 |
What dog training should every dog be given? | 0 |
In Islam, if the moon being split was a "miracle", meaning it can't be explained by scientific laws, why do people try to disprove it through science? | 0 |
In what part of Europe did the Burgundians settle? | 0 |
Is an iceberg colder than an ice cube? | 0 |
14. An elliptical cavity is carved within a perfect conductor. A positive charge $q$ is placed at the centre of the cavity. The points $A$ and $B$ are on the cavity surface as shown in the figure. Then
 $I_1<I_2$
(b) $I_1=I_2$
(c) $I_1>I_2$
(d) relation between $I_1$ and $I_2$ depends on the actual shapes of the bodies. | 1 |
There is an Indian Hindi phrase that says "Bandar kya jaane adrak ka swad". Why was this made? | 0 |
3. Statement $1:\left(n^{2}\right)!\left((n!)^{n}\right.$ is a natural number for all $n \in N$.
Statement 2: Number of ways in which $n^{2}$ objects can be distributed among $n$ persons equally is $\left(n^{2}\right)!/(n!)^{n}$. | 1 |
112. The number of common chords of the parabolas $x=y^{2}-6 y+11$ and $y=x^{2}-6 x+1$ are
a. 1
b. 2
c. 4
d. 6 | 1 |
(g) Development of new and powerful techniques of chemical and biological warfare). | 1 |
1. Let $f(x)=\max \{1+\sin x, 1,1-\cos x\}, x \in[0,2 \pi]$ and $g(x)=\max \{1,|x-1|\} x \in R$, then
a. $g(f(0))=1$
c. $f(f(1))=1$
d. $f(g(0))=1+\sin 1$
h. $g(f(1))=1$ | 1 |
17. An $\mathrm{AC}$ voltage source described by $V=10 \cos (\pi / 2) t$ is connected to a $1 \mu \mathrm{F}$ capacitor as shown in figure. The key $K$ is closed at $t=0$. The time $(t>0)$ after which the magnitude of current $I$ reaches its maximum value for the first time is
 torque on it is maximum
(b) torque on it is zero
(c) potential energy is maximum
(d) dipole is in unstable equilibrium | 1 |
12. If the normal to the curve $y=f(x)$ at the point $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive $X$-axis, then $f^{\prime}(3)$ is equal to
(a) -1
(b) $-3 / 4$
(c) $4 / 3$
(d) 1 | 1 |
Ex. 47. A 0.01 m aqueous solution of $\mathrm{K}_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$ freezes at $-0.062^{\circ} \mathrm{C}$. What is the apparent percentage of dissociation? ( $K_{f}$ for water $=1.86$ ) | 1 |
How should I increase the stamina? | 0 |
How can the economic activity in India be increased? | 0 |
How much time does it take to upgrade the access level to full transaction rights in SBI online? | 0 |
Is beverified a scam? | 0 |
What sort of details did the Modernists' want in their buildings? | 0 |
What is the Darwinian explanation for homosexuality? | 0 |
How do I bake a chocolate cake at home using microwave? | 0 |
Example 7.34 If lines $p x+q y+r=0, q x+r y+p=0$ and $r x+p y+q=0$ are concurrent then prove that $p+q+r=0$ (where $p, q, r$ are distinct). | 1 |
- Example 26.22 Calculate the magnetic induction (or magnetic field) at a point $1 \AA$ away from a proton, measured along its axis of spin. The magnetic moment of the proton is $1.4 \times 10^{-26} \mathrm{~A}-\mathrm{m}^{2}$. | 1 |
I sent a man an email saying I love you. Seeing him comforted me, but I only talked to him once. Am I crazy? | 0 |
1. Match the following two columns for hydrogen spectrum.
| Column I | Column II |
| :--- | :--- |
| (a) Lyman series | (p) infrared region |
| (b) Balmer series | (q) visible region |
| (c) Paschen series | (r) ultraviolet region |
| (d) Brackett series | (s) X-rays | | 1 |
18. Statement 1: Let $f(x)=\lim _{m \rightarrow \infty}\left\{\lim _{n \rightarrow \infty} \cos ^{2 m}(n!\pi x)\right\}$, and $g(x)=\left\{\begin{array}{l}0, \text { if } x \text { is rational } \\ 1, \text { if } x \text { is irrational }\end{array}\right.$. Then $h(x)=f(x)+g(x)$ is continuous for all $x$.
Statement ... | 1 |
6. In an experiment to determine the focal length $(f)$ of a concave mirror by the $u-v$ method, a student places the object pin $A$ on the principal axis at a distance $x$ from the pole $P$. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with $P A$. When the student shi... | 1 |
30. Consider the chemical reaction, $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g})$. The rate of this reaction can be expressed in terms of time derivative of concentration of $\mathrm{N}_{2}(\mathrm{~g}), \mathrm{H}_{2}(\mathrm{~g})$ or $\mathrm{NH}_{3}(\mathrm{~g... | 1 |
3. Two equal masses are attached to the two ends of a spring of spring constant $k$. The masses are pulled out symmetrically to stretch the spring by a length $x$ over its natural length. The work done by the spring on each mass is
(a) $\frac{1}{2} k x^{2}$
(b) $-\frac{1}{2} k x^{2}$
(c) $\frac{1}{4} k x^{2}$
(d) $-\fr... | 1 |
1. 120 g of urea is dissolved in 5 litres. The active mass of urea is
(a) 0.08
(b) 0.4
(c) $120 / 5$
(d) $5 / 120$ | 1 |
4. A double slit of separation $0.1 \mathrm{~mm}$ is illuminated by white light. A coloured interference pattern is formed on a screen $100 \mathrm{~cm}$ away. If a pin hole is located in this screen at a distance of $2 \mathrm{~mm}$ from the central fringe, the wavelengths in the visible spectrum ( $4000 \AA$ to $7000... | 1 |
What is one of the key service industries of New Delhi? | 0 |
6. In Fig. 3-27, a heavy piece of machinery is raised by sliding it a distance $d=12.5 \mathrm{~m}$ along a plank oriented at angle $\theta=20.0^{\circ}$ to the horizontal. How far is it moved (a) vertically and (b) horizontally? | 1 |
I just heated up a bowl of soup in the microwave for two minutes. When I opened the door, a small moth flew out. How did it survive in there? | 0 |
Example 1 The first overtone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of $2.2 \mathrm{~Hz}$. The fundamental frequency of the closed organ pipe is $110 \mathrm{~Hz}$. Find the lengths of the pipes. Speed of sound in air $v=330 \mathrm{~m} / \mathrm{s}$. | 1 |
8. Let a given line $L_{1}$ intersect the $x$ and $y$ axes at $P$ and $Q$, respectively. Let another line $L_{2}$, perpendicular to $L_{1}$, cut the $x$ and $y$-axis at $R$ and $S$, respectively. Show that the locus of the point of intersection of the lines $P S$ and $Q R$ is a circle passing through the origin.
(IIT-... | 1 |
When you were broke, what did you do to provide decent living for your kid(s) sake? Tell your story! | 0 |
Along with sociology and behavioral sciences, what discipline informs the field of criminology? | 0 |
What is one’s salary after doing MTech from IIT? | 0 |
How is life of an automobile engineer in India? | 0 |
9. Two identical uniform rectangular blocks (with longest side l ) and a solid sphere of radius $R$ are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure. If t... | 1 |
How can I improve my website ranking? | 0 |
52. Find the equivalent resistance of the networks shown in figure between the points $a$ and $b$.
(a)
^{2}+(\sin x-\sin y)^{2}=4 \cos ^{2} \frac{x+y}{2}$ | 1 |
What are good areas in NYC to buy a multi-family property in $500k range? | 0 |
The Java Dwipa kingdom was well-known for what? | 0 |
Does beer affect body temperature? | 0 |
18. In a wave motion $y=a \sin (k x-\omega t), y$ can represent
(a) electric field
(b) magnetic field
(c) displacement
(d) pressure | 1 |
38. An ideal gas is expanded from $\left(P_{1}, V_{1}, T_{1}\right)$ to $\left(P_{2}, V_{2}, T_{2}\right)$ under different conditions. The correct statement(s) among the following is (are)
(a) The work done on the gas is maximum when it is compressed irreversibly from $\left(P_{2}, V_{2}\right)$ to $\left(P_{1}, V_{1... | 1 |
How do I connect mobile's 3.5 mm jack and 5.1 channel speakers? | 0 |
Why is voltage drop when the load increase? | 0 |
(vi) Iron(III) hexacyanidoferrate(II) | 1 |
4. A particle of mass $m$ is observed from an inertial frame of reference and is found to move in a circle of radius $r$ with a uniform speed $v$. The centrifugal force on it is (a) $\frac{m v^{2}}{r}$ towards the centre
(b) $\frac{m v^{2}}{r}$ away from the centre
(c) $\frac{m v^{2}}{r}$ along the tangent through t... | 1 |
This view of how schooling and earnings has sparked a lot of studies, but what else has it brought up? | 0 |
(iii) E : at most two tails , F : at least one tail | 1 |
What is the best Java book for beginners? | 0 |
6. At temperature $\mathrm{T}$, the average kinetic energy of any particle is $\frac{3}{2} \mathrm{kT}$. The de Broglie wavelength follows the order :
(a) Visible photon $>$ Thermal neutron $>$ Thermal electron
(b) Thermal proton $>$ Thermal electron $>$ Visible photon
(c) Thermal proton $>$ Visible photon $>$ The... | 1 |
What lf I don't accept Jesus as God? | 0 |
Ex. 14. The equilibrium constant of the reaction $\mathrm{A}_{2}(\mathrm{~g})+\mathrm{B}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{AB}(\mathrm{g})$ at $100^{\circ} \mathrm{C}$ is 50. If a one-litre flask containing one mole of $\mathrm{A}_{2}$ is connected to a two-litre flask containing two moles of $\mathrm{B}_{2... | 1 |
How are investment banks organized? | 0 |
23. For an aqueous solution of NaCl , the observed molecular weight of NaCl will be
(a) less than 58.5
(b) more than 58.5
(c) 58.5
(d) $58.5^{2}$ | 1 |
Why do we have to learn history? | 0 |
8. Find the number ordered pairs $(x, y)$ if $x, y \in\{0,1,2,3, \ldots, 10\}$ and if $|x-y|>5$. | 1 |
1. Equation of progressive wave is given by $y=4 \sin \left[\pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right]$, where $x$ and $y$ are in metre. Then,
(a) $v=5 \mathrm{~m} / \mathrm{s}$
(b) $\lambda=18 \mathrm{~m}$
(c) $A=0.04 \mathrm{~m}$
(d) $f=50 \mathrm{~Hz}$ | 1 |
Which individual commissioned Chaminar? | 0 |
Example 1.33 Prove that
$$
\sqrt{x^{2}+2 x+1}-\sqrt{x^{2}-2 x+1}= \begin{cases}-2, & x<-1 \\ 2 x, & -1 \leq x \leq 1 \\ 2, & x>1\end{cases}
$$ | 1 |
Which is the best site/app to download songs with album art? | 0 |
8. 150 workers were engaged to finish a piece of work in a certain number of days. Four workers stopped working on the second day, four more workers stopped their work on the third day and so on. It took 8 more days to finish the work. Then the number of days in which the work was completed is
a. 29 days
b. 24 days
c. ... | 1 |
What more local councils were set up? | 0 |
What's your favorite drink? | 0 |
6. If $x=9$ is the chord of contact of the hyperbola $x^{2}-y^{2}$ $=9$, then the equation of the corresponding pair of tangents is
a. $9 x^{2}-8 y^{2}+18 x-9=0$
b. $9 x^{2}-8 y^{2}-18 x+9=0$
c. $9 x^{2}-8 y^{2}-18 x-9=0$
d. $9 x^{2}-8 y^{2}+18 x+9=0$
(IIT-JEE, 1999) | 1 |
Is this emotional abuse? | 0 |
4.30 The rate of a reaction quadruples when the temperature changes from 293 K to 313 K . Calculate the energy of activation of the reaction assuming that it does not change with temperature. | 1 |
31. A leaky parallel capacitor is filled completely with a material having dielectric constant $K=5$ and electrical conductivity $\sigma=7.4 \times 10^{-12} \Omega^{-1} \mathrm{~m}^{-1}$. Charge on the plate at instant $t=0$ is $q=8.885 \mu \mathrm{C}$. Then, time constant of leaky capacitor is
(a) $3 \mathrm{~s}$
(b) ... | 1 |
1. Adsorption of a gas follows Freundlich adsorption isotherm. If $x$ is the mass of the gas adsorbed on mass $\mathrm{m}$ of the adsorbent, the correct plot of $\frac{x}{m}$ versus $p$ is :
(a)
 $V$
(b) $V / 2$
(c) $V / 4$
(d) $V / 8$ | 1 |
What is the best way to deal with loneliness? | 0 |
Who was sworn in as the second provisional president of the republic of China? | 0 |
16. Which of the following is the condensed formula for 4 -aminobutanamide?
(A) $\mathrm{NH}_{2} \mathrm{CH}_{2}\left(\mathrm{CH}_{2}\right)_{2} \mathrm{CONH}_{2}$
(B) $\mathrm{NO}_{2} \mathrm{CH}_{2}\left(\mathrm{CH}_{2}\right)_{2} \mathrm{CONH}_{2}$
(C) $\mathrm{NH}_{2} \mathrm{CO}\left(\mathrm{CH}_{2}\right)_{2} \ma... | 1 |
7. If the value of the definite integral $\int_{0}^{207} C_{7} x^{200} \cdot(1-x)^{7} d x$ is equal to $\frac{1}{k}$ where $k \in N$, then the value of $k / 26$ is | 1 |
6. The number of $\mathrm{S}=\mathrm{O}$ and $\mathrm{S}-\mathrm{OH}$ bonds present in peroxodisulphuric acid and pyrosulphuric acid respectively are :
(a) (2 and 2) and (2 and 2) (b)
$(2$ and 4$)$ and $(2$ and 4$)$
(c) (4 and 2$)$ and (2 and 4$)$ (d)
$(4$ and 2$)$ and $(4$ and 2$)$ | 1 |
What are the minimum cut-off marks for qualifying NTSE stage 2? | 0 |
What are the top software companies for finance? | 0 |
3. $5 \mathrm{~g}$ of zinc is treated separately with an excess of
(A) dilute hydrochloric acid and
(B) aqueous sodium hydroxide.
The ratio of the volumes of $\mathrm{H}_{2}$ evolved in these two reactions is:
(a) $1: 2$
(b) $1: 1$
(c) $1: 4$
(d) $2: 1$ | 1 |
119. The range of $f(x)=(x+1)(x+2)(x+3)(x+4)+5$ for $\forall x \in[-6,6]$ is
a. $[4,5045]$
b. $[0,5045]$
c. $[-20,5045]$
d None of these | 1 |
2. For the differential equation whose solution is $(x-h)^{2}$ $+(y-k)^{2}=a^{2}(a$ is a constant $)$, its
a. order is 2
b. order is 3
c. degree is 2
d. degree is 3 | 1 |
Human rights in ghana? | 0 |
47. Let $f(x)=\left\{\begin{array}{cc}x+2, & -1 \leq x<0 \\ 1, & x=0 \\ \frac{x}{2}, & 0<x \leq 1\end{array}\right.$
Then on $[-1,1]$, this function has
a. a minimum
b. amaximum
c. either a maximum or a minimum
d. neither a maximum nor a minimum | 1 |
Can exes ever be just friends? | 0 |
How should we react on Uri camp terror attack? | 0 |
How widely accepted are credit cards at small businesses and restaurants in Pakistan? | 0 |
7. If $\Delta$ is the area of a triangle with side lengths $a, b, c$, then show that
$$
\Delta \leq \frac{1}{4} \sqrt{(a+b+c) a b c}
$$
Also, show that the equality occurs in the above inequality if and only if $a=b=c$. | 1 |
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